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Finding the Fourth Proportional to 82,477, 123,614.06 and 38,042.04

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Solution

The fourth proportional to 82,477, 123,614.06 and 38,042.04 is: 57,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,477 : 123,614.06 = 38,042.04 : x
  2. Step 2: Convert to fraction form
    82,477/123,614.06 = 38,042.04/x
  3. Step 3: Cross multiply
    82,477x = 123,614.06 × 38,042.04
  4. Step 4: Simplify right side
    82,477x = 4,702,531,015.08
  5. Step 5: Solve for x
    x = 4,702,531,015.08/82,477
  6. Step 6: Final answer
    x = 57,016.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.